But he said he had been a victim of a black ops campaign himself. "I'm not going to stand around here and let people plead their innocence when their background has been one, in some cases, of engaging in political filth and dirt."
Peters took legal action against National party figures last year after details of a superannuation overpayment were leaked.
Speaking to reporters on her way into Parliament, Ardern again refused to address the rumours.
"To me it doesn't matter what you call it, and I won't be pointing any finger of blame to anyone.
"All I know is it's not why I'm here. It's not had anything to do with the job that I need to do so I'm just going to keep getting on with it and I'm going to smile through it as well."
Ardern said it didn't matter to her who was involved and she declined to say whether she believed it was a concerted smear campaign.
"I'm not going to get embroiled in this debate. It's not what I'm here for."
Police Minister Stuart Nash declined to say whether a police statement on the issue was run by him first.
"No idea what you're talking about mate," he said to a reporter.
When it was clarified, he said: "I'm not interested in talking about that story in any way, shape or form."
For the past seven months, Gayford has been the subject of untrue allegations and accusations.
It led to Police Commissioner Mike Bush taking the extraordinary step of signing off a statement rejecting the speculation.